英语翻译Consider the cubic function:f(x)=2x^3+6x^2-4.5x-13.5.Sta

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英语翻译
Consider the cubic function:f(x)=2x^3+6x^2-4.5x-13.5.
State the roots of this cubic and confirm using the Remainder Theorem.Then,taking the roots two at a time,find the equations of the tanggent linges to the average of two of the three roots.Find where the tangent lines at the average of the two roots intersect the curve again.Does this observation hold regardless of which two roots you average?State a conjecture concerning the roots of the cubic and the tagent lines at the average value of these roots.

参考该三次方程:f(x)=2x^3+6x^2-4.5x-13.5.
假设该三次方根适用剩余定理.接着,一次采用2个方根,建立切线与3个方根中任意2个方根平均值的等式.找到受这两个方根的平均值定义的切线在何处再次穿过曲线.你是否观察到这与你选择哪两个方根求平均值无关?请作出相关推证(有关方根和从其平均值求得的切线切线).
@_@ 老兄我数学很差啊~完全是根据自己悟性和字面意思翻译的,某些地方你自己猜想一下吧~
average 就是“平均”的意思.average value即平均值.

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